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Finding the Third Proportional to 298,211 and 621,570

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Solution

The third proportional to 298,211 and 621,570 is: 1,295,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,211 : 621,570 = 621,570 : x
  2. Step 2: Convert to fraction form
    298,211/621,570 = 621,570/x
  3. Step 3: Cross multiply
    298,211x = 621,570 × 621,570
  4. Step 4: Simplify right side
    298,211x = 386,349,264,900
  5. Step 5: Solve for x
    x = 386,349,264,900/298,211
  6. Step 6: Final answer
    x = 1,295,556.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.